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Finding the Fourth Proportional to 59, 81.42 and 41.78

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Solution

The fourth proportional to 59, 81.42 and 41.78 is: 57.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59 : 81.42 = 41.78 : x
  2. Step 2: Convert to fraction form
    59/81.42 = 41.78/x
  3. Step 3: Cross multiply
    59x = 81.42 × 41.78
  4. Step 4: Simplify right side
    59x = 3,401.73
  5. Step 5: Solve for x
    x = 3,401.73/59
  6. Step 6: Final answer
    x = 57.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.